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Finding the Fourth Proportional to 9,402.81, 12,975.81 and 5,153.85

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Solution

The fourth proportional to 9,402.81, 12,975.81 and 5,153.85 is: 7,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.81 : 12,975.81 = 5,153.85 : x
  2. Step 2: Convert to fraction form
    9,402.81/12,975.81 = 5,153.85/x
  3. Step 3: Cross multiply
    9,402.81x = 12,975.81 × 5,153.85
  4. Step 4: Simplify right side
    9,402.81x = 66,875,378.37
  5. Step 5: Solve for x
    x = 66,875,378.37/9,402.81
  6. Step 6: Final answer
    x = 7,112.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.